38142144000000 has 728 divisors, whose sum is σ = 141254546606160. Its totient is φ = 10170777600000.

The previous prime is 38142143999899. The next prime is 38142144000013. The reversal of 38142144000000 is 44124183.

38142144000000 is a `hidden beast` number, since 38 + 14 + 214 + 400 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1727988964 + ... + 1728011036.

Almost surely, 2^{38142144000000} is an apocalyptic number.

38142144000000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38142144000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70627273303080).

38142144000000 is an abundant number, since it is smaller than the sum of its proper divisors (103112402606160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38142144000000 is an frugal number, since it uses more digits than its factorization.

38142144000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22136 (or 22083 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 38142144000000 its reverse (44124183), we get a palindrome (38142188124183).

The spelling of 38142144000000 in words is "thirty-eight trillion, one hundred forty-two billion, one hundred forty-four million", and thus it is an aban number.